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Factor. $\newline$ $15x^3 + 10x^2 - 9x - 6$

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Factor by grouping

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Q. Factor.

\newline

15x^3 + 10x^2 - 9x - 6

Grouping for Factoring: Group the terms into two pairs to prepare for factoring by grouping. $\newline$ Group the first two terms and the last two terms separately. $\newline$ $15x^3 + 10x^2 - 9x - 6$ can be grouped as $(15x^3 + 10x^2) + (-9x - 6)$ .
Factor out GCF: Factor out the greatest common factor from each group. $\newline$ From the first group, factor out $5x^2$ , and from the second group, factor out $-3$ . $\newline$ $5x^2(3x + 2) - 3(3x + 2)$ .
Common Binomial Factor: Check if there is a common binomial factor in both groups. $\newline$ Both groups have a common binomial factor of $(3x + 2)$ .
Factor out Binomial Factor: Factor out the common binomial factor. $\newline$ The factored form is $(3x + 2)(5x^2 - 3)$ .

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